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Finding the Fourth Proportional to 792.15, 1,090.92 and 775.19

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Solution

The fourth proportional to 792.15, 1,090.92 and 775.19 is: 1,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.15 : 1,090.92 = 775.19 : x
  2. Step 2: Convert to fraction form
    792.15/1,090.92 = 775.19/x
  3. Step 3: Cross multiply
    792.15x = 1,090.92 × 775.19
  4. Step 4: Simplify right side
    792.15x = 845,666.40
  5. Step 5: Solve for x
    x = 845,666.40/792.15
  6. Step 6: Final answer
    x = 1,067.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.